1. (20 points) Suppose a firm must employ 20 workers in order to produce 500 units of output that the firm has contracted to supply to the government for $2.5 million. The firm must choose how much to invest in safety. The firm can choose any level of safety, S, from 0 to 100 . The cost of safety is C(S)=70S2. Given the firm's choice of safety, it must pay an annual salary of 60,000300S. What level of safety will the firm choose, and how much does this cost? How much will each worker earn? How much profit will the firm earn? 1. (20 points) Suppose a firm must employ 20 workers in order to produce 500 units of output that the firm has contracted to supply to the government for $2.5 million. The firm must choose how much to invest in safety. The firm can choose any level of safety, S, from 0 to 100 . The cost of safety is C(S)=70S2. Given the firm's choice of safety, it must pay an annual salary of 60,000300S. What level of safety will the firm choose, and how much does this cost? How much will each worker earn? How much profit will the firm earn